Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications, 550)

Sidorov, Nikolay; Loginov, Boris; Sinitsyn, A.V.; Falaleev, M.V.

ISBN 10: 1402009410 / ISBN 13: 9781402009419

Published by Springer, 2002

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Synopsis:

This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics.
The authors expound the recent result on the generalized eigen-value problem, the perturbation method, Schmidt's pseudo-inversion for regularization of linear and nonlinear problems in the branching theory and group methods in bifurcation theory. The book covers regular iterative methods in a neighborhood of branch points and the theory of differential-operator equations with a non-invertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods.

Synopsis: This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics. The authors expound the recent result on the generalized eigen-value problem, the perturbation method, Schmidt's pseudo-inversion for regularization of linear and nonlinear problems in the branching theory and group methods in bifurcation theory. The book covers regular iterative methods in a neighborhood of branch points and the theory of differential-operator equations with a non-invertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods.

Bibliographic Details

Title: Lyapunov-Schmidt Methods in Nonlinear ...
Publisher: Springer
Publication Date: 2002
Binding: Hardcover
Condition: New